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Digital SAT
Digital SAT Mathematics - No Calculator Section

Predicting Test Scores with Linear Equations

Very Hard Heart Of Algebra Linear Equations And Inequalities

Marissa is studying the relationship between the number of hours she spends studying mathematics, denoted by the variable $h$, and her test scores, denoted by the variable $s$. She realizes that she can predict her math test score using the linear equation:

$$s = 10h + 70$$

After studying for $4$ hours, Marissa's score from the equation is $s = 10(4) + 70$. However, she also noted that her actual test score was $95$. To explore further, she decided to adjust her equation to account for another variable, the number of practice tests she takes, denoted by $t$, and believes the new relationship can be described by:

$$s = 10h + 5t + 70$$

If Marissa plans on studying for $6$ hours and taking $3$ practice tests, what will her predicted score be according to the new equation?

Hint

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